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Login: | Explaining level changesDivision 4: Whitchurch Imperial A v BAWA / Kingswood (Wed 11 Oct 2023)Match played between Bill Hope (home) and Jordan Milbourne (away).Match won by Jordan Milbourne. Result: 3-15,11-15,2-15:15-17,10-15,11-15:15-12,15-11,10-15,15-12:16-18,15-9,20-22,7-15:9-15,14-16,11-15. Starting level for Bill Hope: 1,381, level confidence: 52%. Starting level for Jordan Milbourne: 2,299, level confidence: 54%. Jordan Milbourne to win as he is currently playing 66% better than Bill Hope. Jordan Milbourne won all of the games and 74% of the points. This games result would be expected if he was better by around 55% or more. This points result would be expected if he was better by around 181% (PAR scoring). These are weighted and combined to calculate that Jordan Milbourne played 181% better than Bill Hope in this match. Assuming that any level changes are shared between both players, for this result it looks like Jordan Milbourne actually played at a level of 2,988 and Bill Hope at a level of 1,062. Without any damping, both players would need to be adjusted by 30% to match this result. Allowing for the difference in level between the players, the adjustments have been reduced to 22% and 23% respectively. Factoring in the relative levels of confidence which allows players with low confidence in their levels to change more quickly, the adjustment for Jordan Milbourne changes to +22% and Bill Hope changes to -23%. After applying standard match damping, the adjustment for Jordan Milbourne becomes +8.7% and for Bill Hope becomes -10.8%. Apply match/event weighting of 75% for 'Mixed Autumn 2023/2024' so the adjustment for Jordan Milbourne is +6.5% and for Bill Hope is -7.9%. Apply limits to the amount of change for a single match which are based on player level, level confidence and time since last match so that Bill Hope is limited to -5% level change. In general a player's level won't go up by more than 10% or drop more than 5% if they've played in the last 7 days but those limits are relaxed if their previous match was further back. Increase level confidence due to one more match played. Jordan Milbourne: 73%, Bill Hope: 72%. Reduce level confidence based on how unexpected the result is. Jordan Milbourne: 57%, Bill Hope: 56%. A final adjustment of +0.2% has been made to both players as part of the automatic calibration that is performed after each match. All players in this pool will have been adjusted equally in order to remain equivalent to other player pools. Final level for Bill Hope: 1,318, level confidence: 56%. Final level for Jordan Milbourne: 2,453, level confidence: 57%. Notes
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